13:00 - 14:00
BB 5161.0289 (Bernoulliborg)
Title: On Duality for Lyapunov Functions of Nonstrict Convex Processes
Abstract: This talk introduces a novel definition of Lyapunov functions for difference inclusions defined by convex processes. This class of systems is particularly interesting due to its application in modeling linear systems with conic (e.g. nonnegativity) constraints. After introducing the notions of weak and strong Lyapunov functions we will present a theorem revealing a duality relation between them. This relation will relate in a natural way to the duality between (strong) stabilizability and (strong) detectability of linear systems.